1 citations · 1 across the 12 of their papers we have counts for
15 papers
Financial Interactions and Collective States: Part III. Description of Dynamic Collective States
Pierre Gosselin, Aïleen Lotz
In a series of papers, we analyzed the mechanisms of capital allocation and accumulation among firms, investors, and banks within the framework of Field Economics. At the macro lev…
Financial Interactions and Collective States: Part II. Banks, Investors and Firms
Pierre Gosselin, Aïleen Lotz
In a previous paper, we applied a field formalism to analyze capital allocation and accumulation within a microeconomic framework of investors and firms. The financial connections…
Statistical Field Theory and Neural Structures Dynamics V: Synthesis and extensions
Pierre Gosselin, Aïleen Lotz
We present a unified field-theoretic framework for the dynamics of activity and connectivity in interacting neuronal systems. Building upon previous works, where a field approach t…
Financial Interactions and Collective States: Part I. Investors and Firms
Pierre Gosselin, Aïleen Lotz
In a previous work, we applied a field formalism to analyze capital allocation and accumulation within a network of investors and firms. In that framework, financial agents could i…
Financial Interactions and Capital Accumulation
Pierre Gosselin, Aïleen Lotz
In a series of precedent papers, we have presented a comprehensive methodology, termed Field Economics, for translating a standard economic model into a statistical field-formalism…
A Statistical Field Perspective on Capital Allocation and Accumulation: Individual dynamics
Pierre Gosselin, Aïleen Lotz
We have shown, in a series of articles, that a classical description of a large number of economic agents can be replaced by a statistical fields formalism. To better understand th…
A Statistical Field Perspective on Capital Allocation and Accumulation
Pierre Gosselin, Aïleen Lotz
This paper provides a general method to translate a standard economic model with a large number of agents into a field-formalism model. This formalism preserves the system's intera…
Statistical Field Theory and Neural Structures Dynamics III: Effective Action for Connectivities, Interactions and Emerging Collective States
Pierre Gosselin, Aïleen Lotz
This paper elaborates on the effective field theory for the connectivity field previously introduced in ([7]). We demonstrate that dynamic interactions among connectivities induce…
Statistical Field Theory and Neural Structures Dynamics II: Signals Propagation, Interferences, Bound States
Pierre Gosselin, Aïleen Lotz
We continue our study of a field formalism for large sets of interacting neurons, together with their connectivity functions. Expanding upon the foundation laid in ([9]), we formul…
Statistical Field Theory and Neural Structures Dynamics I: Action Functionals, Background States and External Perturbations
Pierre Gosselin, Aïleen Lotz
This series of papers models the dynamics of a large set of interacting neurons within the framework of statistical field theory. The system is described using a two-field model. T…
Statistical Field Theory and Neural Structures Dynamics IV: Field-Theoretic Formalism for Interacting Collective States
Pierre Gosselin, Aïleen Lotz
Building upon the findings presented in the first three papers of this series, we formulate an effective field theory for interacting collective states. These states consist of a l…
Financial Markets and the Real Economy: A Statistical Field Perspective on Capital Allocation and Accumulation
Pierre Gosselin, Aïleen Lotz, Marc Wambst
This paper provides a general method to directly translate a classical economic framework with a large number of agents into a field-formalism model. This type of formalism allows…
Statistical Field Theory and Networks of Spiking Neurons
Pierre Gosselin, Aïleen Lotz, Marc Wambst
This paper models the dynamics of a large set of interacting neurons within the framework of statistical field theory. We use a method initially developed in the context of statist…
A Statistical Field Approach to Capital Accumulation
Pierre Gosselin, Aïleen Lotz, Marc Wambst
This paper presents a model of capital accumulation for a large number of heterogenous producer-consumers in an exchange space in which interactions depend on agents' positions. Ea…
A Path Integral Approach to Business Cycle Models with Large Number of Agents
Aïleen Lotz, Pierre Gosselin, Marc Wambst
This paper presents an analytical treatment of economic systems with an arbitrary number of agents that keeps track of the systems' interactions and agents' complexity. This formal…